The Thaler ruling addresses a different point.

The ruling says that the LLM cannot be the author. It does not say that the human being using the LLM cannot be the author. The ruling was very clear that it did not address whether a human being was the copyright holder because Thaler waived that argument.

the position with a monkey using your camera is similar, and you may or may not hold the copyright depending on what you did - was it pure accident or did you set things up. Opinions on the well known case are mixed: https://en.wikipedia.org/wiki/Monkey_selfie_copyright_disput...

Where wildlife photographers deliberately set up a shot to be triggered automatically (e.g. by a bird flying through the focus) they do hold the copyright.